 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the... | |
 | Euclides - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line ( AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...AOG equal to the angle DFE ; and join AG. AG is the tangent required. 14-15. Euclid III. 25, 34. 16. On a given straight line to describe a segment of a circle which shall contain an angle' equal to a given angle. Euclid III. 33. See figure 28. Let AB be the given straight line, C the given... | |
 | Euclid - Geometry - 1890 - 442 pages
...two rt. A s, AA = SPQ + TPQ. AA And it has been shown that SPQ = A. AA Proposition 33. PROBLEM — On a given straight line to describe a segment of a circle containing an angle equal to a given angle. If the given A is right, a semi O on the given line will... | |
 | Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...To bisect a given arc of a circle. The construction may be effected by 2R, + R2 + 20, + 2C2 III. 33. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. The construction may be effected by III. 34. From a given... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...point, to draw a tangent to a given circle. 288. To inscribe a circle in a given triangle. 290. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. 291. To find the ratio of two commensurable straight lines. BOOK III. PROPORTION. 295.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...chord is equal to the angle inscribed in the opposite segment. Proposition 13O. Problem: 163. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. To describe a segment on AB such that any Z inscribed in it shall be equal to Z m. Construction.... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...the circle in E, F, G, H, respectively ; prove that the chords EG, FH intersect at right angles. 8. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Construct a triangle having given the base, the vertical angle, and the sum... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...chord from the middle point of either arc cut off by the chord are equal, PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. H J± A/ E XB u D\ Let AB be the given st. line, and C the given angle. It... | |
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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
